d) \(4x^2y^2-8xy^2+4y^2=4y^2\left(x^2-2x+1\right)=4y^2\left(x-1\right)^2\)

e) \(x^3y+10x^2y+35xy=xy\left(x^2+10x+35\right)\)

f) \(2x^3-4x^2y+2xy^2-8x=2x\left(x^2-2xy+y^2-4\right)=2x\left[\left(x-y\right)^2-4\right]=2x\left(x-y-2\right)\left(x-y+2\right)\)

g) \(3x^2-9xy-6x+18y=3x\left(x-3y\right)-6\left(x-3y\right)=3\left(x-3y\right)\left(x-2\right)\)

h) \(x^2y^2-3xy^2+2xy-6y=xy\left(xy+2\right)-3y\left(xy+2\right)=\left(xy+2\right)\left(xy-3y\right)=y\left(xy+2\right)\left(x-3\right)\)

d: \(4x^2y^2-8xy^2+4y^2\)

\(=4y^2\left(x^2-2x+1\right)\)

\(=4y^2\left(x-1\right)^2\)

e: \(x^3y+10x^2y+35xy\)

\(=xy\left(x^2+10x+35\right)\)

f: \(2x^3-4x^2y+2xy^2-8x\)

\(=2x\left(x^2-2xy+y^2-4\right)\)

\(=2x\left(x-y-2\right)\left(x-y+2\right)\)

g: \(3x^2-9xy-6x+18y\)

\(=3x\left(x-3y\right)-6\left(x-3y\right)\)

\(=3\left(x-2\right)\left(x-3y\right)\)

h: \(x^2y^2-3xy^2+2xy-6y\)

\(=xy^2\left(x-3\right)+2y\left(x-3\right)\)

\(=y\left(xy+2\right)\left(x-3\right)\)

e: \(x^2+6x+9-y^2\)

\(=\left(x+3\right)^2-y^2\)

\(=\left(x+3-y\right)\left(x+3+y\right)\)

f: \(x^2-2x+7x-14\)

\(=x\left(x-2\right)+7\left(x-2\right)\)

=(x-2)(x+7)

h: \(5x^2-10xy+5y^2-20\)

\(=5\left(x^2-2xy+y^2-4\right)\)

\(=5\left(x-y-2\right)\left(x-y+2\right)\)

a: \(3x^4-6x^3+2x^2=x^2\left(3x^2-6x+2\right)\)

b: \(x^3y+12x^2y+36xy=xy\left(x^2+12x+36\right)=xy\left(x+6\right)^2\)

c: \(x^3y-9xy^3=xy\left(x^2-9y^2\right)=xy\left(x-3y\right)\left(x+3y\right)\)

d: \(x^2y^2-2xy^2+y^2=y^2\left(x-1\right)^2\)

a: \(4x^3-xy^2\)

\(=x\left(4x^2-y^2\right)\)

\(=x\left(2x-y\right)\left(2x+y\right)\)

b: \(5x^3-10x^2+5x\)

\(=5x\left(x^2-2x+1\right)\)

\(=5x\left(x-1\right)^2\)

c: \(4x^2+24x+36-4y^2\)

\(=4\left(x^2+6x+9-y^2\right)\)

\(=4\left(x+3-y\right)\left(x+3+y\right)\)

a) \(4x^3-xy^2=x\left(4x^2-y^2\right)=x\left(2x-y\right)\left(2x+y\right)\)

b) \(5x^3-10x^2+5x=5x\left(x^2-2x+1\right)=5x\left(x-1\right)^2\)

c) \(4x^2+24x+36-4y^2=\left(2x+6\right)^2-4y^2=\left(2x+6-2y\right)\left(2x+6+2y\right)\)

d) \(4x^2y^2-8xy^2+4y^2=4y^2\left(x^2-2x+1\right)=4y^2\left(x-1\right)^2\)

e) \(x^3y+10x^2y+35xy=xy\left(x^2+10x+35\right)\)

f) \(2x^3-4x^2y+2xy^2-8x=2x\left(x^2-2xy+y^2-4\right)=2x\left[\left(x-y\right)^2-4\right]=2x\left(x-y-2\right)\left(x-y+2\right)\)

g) \(3x^2-9xy-6x+18y=3x\left(x-2\right)-9y\left(x-2\right)=3\left(x-2\right)\left(x-3y\right)\)

h) \(x^2y^2-3xy^2+2xy-6y=xy\left(xy+2\right)-3y\left(xy+2\right)=\left(xy+2\right)\left(xy-3y\right)\)

g: \(3x^2-9xy-6x+18y\)

\(=3x\left(x-3y\right)-6\left(x-3y\right)\)

\(=3\left(x-2\right)\left(x-3y\right)\)

h: \(x^2y^2-3xy^2+2xy-6y\)

\(=xy^2\left(x-3\right)+2y\left(x-3\right)\)

\(=y\left(xy+2\right)\left(x-3\right)\)

Cái này y hệt cái đề mik thi:)

trời dài thế làm lâu phết đó nha hừm làm theo đúng công thức là được :)

b) 24x^2+6x^2y−2x−12yx−3y^2x+y 

tôi làm theo cách tìm tích số

nếu thấy đúng thì tick cho tôi nha

a) \(x^2+2xy^3-3z+4xy-5xy^2+2xy-5z\)

\(=x^2+2xy^3-5xy^2-\left(3z+5z\right)+\left(4xy+2xy\right)\)

\(=x^2+2xy^3-5xy^2-8z+6xy\)

b) \(\left(x-3y\right)\left(x^2-3xy+9y^2\right)\)

\(=\left(x-3y\right)\left[x^2-x\cdot3y+\left(3y\right)^2\right]\)

\(=x^3-\left(3y\right)^3\)

\(=x^3-27y^3\)

c) \(\left(2x-y\right)\left(2x+y\right)\)

\(=\left(2x\right)^2-y^2\)

\(=4x^2-y^2\)

d) \(\left(3x-y\right)\left(2y+5\right)-16x4y\)

\(=6xy+15x-2y^2-5y-64xy\)

\(=-58xy+15x-2y^2-5y\)

Bạn xem lại đề bài nhé!

\(=15x^3y^2-9x^3y^3+6x^3y^3\)

=15x3y2−9x3y3+6x3y3 bài này mình mới học thôi nha

tick nha

Lời giải:

a.

$C=-x^3y^3+x^2y+xy^2$

Bậc: $3+3=6$

b.

$D=3x^2y^3+3x^3y^2+7y^2-12x^2$

Bậc: $2+3=5$

c.

$E=\frac{5}{2}x^5y+\frac{7}{3}xy^4-\frac{1}{4}x^2y^3

Bậc: $5+1=6$

 Trong các biểu thức sau, biểu thức nào là đơn thức ?

            A. (x+y² )z            B. x/2-z         C. – 5x + 1                 D. (- 2xy²)1/3xy²

D

D